119:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.073089:0.136836:0.148872:0.136836:0.148872:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.073089:0.164198:0.086710:0.164198:0.086710:0.147251:0.073089:0.147251:0.000000:0.000000
Resolver la ecuación 3 2 – 5  + 12 = 0.:@0.101541:0.164199:0.378205:0.164199:0.378205:0.147766:0.101541:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.261521:0.164199:0.272216:0.164199:0.272216:0.147793:0.261521:0.147793:0.000000:0.000000
x:@0.303269:0.164199:0.310724:0.164199:0.310724:0.147793:0.303269:0.147793:0.000000
Encontrar el vértice de la parábola ( ,  ).:@0.101550:0.187988:0.389089:0.187988:0.389089:0.171555:0.101550:0.171555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h k:@0.357098:0.187988:0.381156:0.187988:0.381156:0.171582:0.357098:0.171582:0.000000:0.000000:0.000000
k f:@0.297607:0.223077:0.327112:0.223077:0.332326:0.207365:0.302821:0.207365:0.000000:0.000000:0.000000
=:@0.311674:0.223757:0.321780:0.223757:0.321780:0.208141:0.311674:0.208141:0.000000
( ) 3:@0.332956:0.223077:0.380532:0.223077:0.380532:0.207365:0.332956:0.207365:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.340687:0.214604:0.349670:0.214604:0.349670:0.198891:0.340687:0.198891:0.000000
6:@0.340485:0.233992:0.349468:0.233992:0.349468:0.218279:0.340485:0.218279:0.000000
=:@0.358996:0.223757:0.369101:0.223757:0.369101:0.208141:0.358996:0.208141:0.000000
5:@0.390067:0.214604:0.399050:0.214604:0.399050:0.198891:0.390067:0.198891:0.000000
6:@0.389865:0.233992:0.398848:0.233992:0.398848:0.218279:0.389865:0.218279:0.000000
2:@0.407998:0.204915:0.413204:0.204915:0.413204:0.195809:0.407998:0.195809:0.000000
5:@0.428550:0.223077:0.437533:0.223077:0.437533:0.207365:0.428550:0.207365:0.000000
5:@0.447068:0.214604:0.456051:0.214604:0.456051:0.198891:0.447068:0.198891:0.000000
6:@0.446865:0.233992:0.455848:0.233992:0.455848:0.218279:0.446865:0.218279:0.000000
+:@0.466148:0.223757:0.476253:0.223757:0.476253:0.208141:0.466148:0.208141:0.000000
12:@0.476824:0.223077:0.494587:0.223077:0.494587:0.207365:0.476824:0.207365:0.000000:0.000000
=:@0.496998:0.223757:0.507104:0.223757:0.507104:0.208141:0.496998:0.208141:0.000000
119:@0.509865:0.214604:0.536408:0.214604:0.536408:0.198891:0.509865:0.198891:0.000000:0.000000:0.000000
12:@0.514412:0.233992:0.532175:0.233992:0.532175:0.218279:0.514412:0.218279:0.000000:0.000000
v:@0.560580:0.222653:0.568311:0.222653:0.573102:0.206247:0.565371:0.206247:0.000000
5:@0.598459:0.214063:0.607442:0.214063:0.607442:0.197629:0.598459:0.197629:0.000000
6:@0.598257:0.233645:0.607239:0.233645:0.607239:0.217211:0.598257:0.217211:0.000000
;:@0.610645:0.222648:0.613848:0.222648:0.613848:0.206214:0.610645:0.206214:0.000000
...:@0.615044:0.222648:0.624321:0.222648:0.624321:0.206214:0.615044:0.206214:0.000000:0.000000:0.000000
119:@0.626236:0.214063:0.652779:0.214063:0.652779:0.197629:0.626236:0.197629:0.000000:0.000000:0.000000
12:@0.630782:0.233645:0.648545:0.233645:0.648545:0.217211:0.630782:0.217211:0.000000:0.000000
= ⎜:@0.576186:0.223327:0.595907:0.224631:0.595907:0.209015:0.576186:0.207712:0.000000:0.000000:0.000000
⎛:@0.588832:0.213633:0.595901:0.213633:0.595901:0.198018:0.588832:0.198018:0.000000
⎝:@0.588839:0.233930:0.595907:0.233930:0.595907:0.218314:0.588839:0.218314:0.000000
⎞:@0.655142:0.213633:0.662210:0.213633:0.662210:0.198018:0.655142:0.198018:0.000000
⎠:@0.655147:0.233930:0.662215:0.233930:0.662215:0.218314:0.655147:0.218314:0.000000
⎟:@0.655147:0.224631:0.662215:0.224631:0.662215:0.209015:0.655147:0.209015:0.000000
Graficar la parábola para determinar los cortes con el eje  .:@0.101546:0.265078:0.522618:0.265078:0.522618:0.248644:0.101546:0.248644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.512034:0.265078:0.519489:0.265078:0.519489:0.248672:0.512034:0.248672:0.000000
x:@0.145060:0.296648:0.153745:0.296648:0.153745:0.281028:0.145060:0.281028:0.000000
y:@0.239896:0.296648:0.248648:0.296648:0.248648:0.281028:0.239896:0.281028:0.000000
–2:@0.141136:0.322185:0.157669:0.322185:0.157669:0.307245:0.141136:0.307245:0.000000:0.000000
34:@0.236101:0.322185:0.252433:0.322185:0.252433:0.307245:0.236101:0.307245:0.000000:0.000000
–1:@0.141136:0.345937:0.157669:0.345937:0.157669:0.330997:0.141136:0.330997:0.000000:0.000000
20:@0.236101:0.345937:0.252433:0.345937:0.252433:0.330997:0.236101:0.330997:0.000000:0.000000
0:@0.145319:0.369690:0.153486:0.369690:0.153486:0.354750:0.145319:0.354750:0.000000
12:@0.236101:0.369690:0.252433:0.369690:0.252433:0.354750:0.236101:0.354750:0.000000:0.000000
1:@0.145319:0.393442:0.153486:0.393442:0.153486:0.378502:0.145319:0.378502:0.000000
10:@0.236184:0.393442:0.252349:0.393442:0.252349:0.378502:0.236184:0.378502:0.000000:0.000000
2:@0.145319:0.417194:0.153486:0.417194:0.153486:0.402255:0.145319:0.402255:0.000000
14:@0.236184:0.417194:0.252349:0.417194:0.252349:0.402255:0.236184:0.402255:0.000000:0.000000
La parábola no corta al eje  . Entonces, la ecuación cuadrática no tiene solución :@0.101546:0.449196:0.710445:0.449196:0.710445:0.432762:0.101546:0.432762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.308378:0.449196:0.315832:0.449196:0.315832:0.432790:0.308378:0.432790:0.000000
 :@0.706342:0.449196:0.710374:0.449196:0.710374:0.432762:0.706342:0.432762:0.000000
en los números reales.:@0.101554:0.465838:0.262172:0.465838:0.262172:0.449404:0.101554:0.449404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.:@0.073096:0.493200:0.087583:0.493200:0.087583:0.476253:0.073096:0.476253:0.000000:0.000000
Determinar las raíces de la ecuación  2 – 6  + 9 = 0. El vértice es (3, 0):@0.101541:0.493201:0.600489:0.493201:0.600489:0.476767:0.101541:0.476767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.365283:0.493201:0.375977:0.493201:0.375977:0.476795:0.365283:0.476795:0.000000:0.000000
x:@0.407030:0.493201:0.414485:0.493201:0.414485:0.476795:0.407030:0.476795:0.000000
x:@0.145060:0.524771:0.153745:0.524771:0.153745:0.509151:0.145060:0.509151:0.000000
y:@0.239896:0.524771:0.248648:0.524771:0.248648:0.509151:0.239896:0.509151:0.000000
1:@0.145319:0.550309:0.153486:0.550309:0.153486:0.535369:0.145319:0.535369:0.000000
4:@0.240184:0.550309:0.248350:0.550309:0.248350:0.535369:0.240184:0.535369:0.000000
2:@0.145319:0.574061:0.153486:0.574061:0.153486:0.559122:0.145319:0.559122:0.000000
1:@0.240184:0.574061:0.248350:0.574061:0.248350:0.559122:0.240184:0.559122:0.000000
3:@0.145319:0.597814:0.153486:0.597814:0.153486:0.582874:0.145319:0.582874:0.000000
0:@0.240184:0.597814:0.248350:0.597814:0.248350:0.582874:0.240184:0.582874:0.000000
4:@0.145319:0.621566:0.153486:0.621566:0.153486:0.606626:0.145319:0.606626:0.000000
1:@0.240184:0.621566:0.248350:0.621566:0.248350:0.606626:0.240184:0.606626:0.000000
5:@0.145319:0.645319:0.153486:0.645319:0.153486:0.630379:0.145319:0.630379:0.000000
4:@0.240184:0.645319:0.248350:0.645319:0.248350:0.630379:0.240184:0.630379:0.000000
Corta al eje x en un solo punto:@0.096847:0.746245:0.318700:0.746245:0.318700:0.730624:0.096847:0.730624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Corta al eje x en dos puntos:@0.375075:0.746245:0.577165:0.746245:0.577165:0.730624:0.375075:0.730624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No corta al eje x:@0.709868:0.746245:0.826835:0.746245:0.826835:0.730624:0.709868:0.730624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación cuadrática tiene dos :@0.080706:0.771783:0.302447:0.771783:0.302447:0.756843:0.080706:0.756843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces reales iguales.:@0.080706:0.783129:0.213973:0.783129:0.213973:0.768190:0.080706:0.768190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación cuadrática tiene dos :@0.349050:0.771783:0.570791:0.771783:0.570791:0.756843:0.349050:0.756843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces reales diferentes.:@0.349050:0.786912:0.501442:0.786912:0.501442:0.771972:0.349050:0.771972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación cuadrática no tiene solución en :@0.617395:0.771783:0.913584:0.771783:0.913584:0.756843:0.617395:0.756843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el conjunto de los números reales.:@0.617395:0.783129:0.844704:0.783129:0.844704:0.768190:0.617395:0.768190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.389667:0.319087:0.399467:0.319087:0.399467:0.310123:0.389667:0.310123:0.000000:0.000000
40:@0.389667:0.300486:0.399467:0.300486:0.399467:0.291522:0.389667:0.291522:0.000000:0.000000
y:@0.395148:0.293093:0.399565:0.293093:0.399565:0.284129:0.395148:0.284129:0.000000
x:@0.517235:0.379483:0.521542:0.379483:0.521542:0.370519:0.517235:0.370519:0.000000
0:@0.408106:0.379483:0.413006:0.379483:0.413006:0.370519:0.408106:0.370519:0.000000
0:@0.397544:0.370345:0.402444:0.370345:0.402444:0.361381:0.397544:0.361381:0.000000
1:@0.436531:0.381586:0.441430:0.381586:0.441430:0.372622:0.436531:0.372622:0.000000
2:@0.470336:0.381586:0.475236:0.381586:0.475236:0.372622:0.470336:0.372622:0.000000
3:@0.504142:0.381586:0.509042:0.381586:0.509042:0.372622:0.504142:0.372622:0.000000
20:@0.389667:0.337659:0.399467:0.337659:0.399467:0.328695:0.389667:0.328695:0.000000:0.000000
10:@0.389667:0.356259:0.399467:0.356259:0.399467:0.347295:0.389667:0.347295:0.000000:0.000000
-1:@0.367426:0.381801:0.375318:0.381801:0.375318:0.372838:0.367426:0.372838:0.000000:0.000000
-2:@0.334635:0.381801:0.342526:0.381801:0.342526:0.372838:0.334635:0.372838:0.000000:0.000000
3:@0.363235:0.549061:0.368134:0.549061:0.368134:0.540097:0.363235:0.540097:0.000000
4:@0.363235:0.530460:0.368134:0.530460:0.368134:0.521496:0.363235:0.521496:0.000000
y:@0.363696:0.522862:0.368114:0.522862:0.368114:0.513899:0.363696:0.513899:0.000000
x:@0.551803:0.610489:0.556111:0.610489:0.556111:0.601525:0.551803:0.601525:0.000000
0:@0.377905:0.609461:0.382805:0.609461:0.382805:0.600497:0.377905:0.600497:0.000000
0:@0.366098:0.600323:0.370997:0.600323:0.370997:0.591359:0.366098:0.591359:0.000000
1:@0.399401:0.611707:0.404301:0.611707:0.404301:0.602743:0.399401:0.602743:0.000000
2:@0.427504:0.611745:0.432404:0.611745:0.432404:0.602781:0.427504:0.602781:0.000000
3:@0.455617:0.611737:0.460517:0.611737:0.460517:0.602774:0.455617:0.602774:0.000000
2:@0.363235:0.567633:0.368134:0.567633:0.368134:0.558669:0.363235:0.558669:0.000000
1:@0.363235:0.586233:0.368134:0.586233:0.368134:0.577269:0.363235:0.577269:0.000000
4:@0.483743:0.611726:0.488643:0.611726:0.488643:0.602762:0.483743:0.602762:0.000000
5:@0.511856:0.611726:0.516756:0.611726:0.516756:0.602762:0.511856:0.602762:0.000000
6:@0.539969:0.611779:0.544869:0.611779:0.544869:0.602815:0.539969:0.602815:0.000000
-1:@0.341506:0.611775:0.349397:0.611775:0.349397:0.602811:0.341506:0.602811:0.000000:0.000000
-1:@0.361165:0.623591:0.369056:0.623591:0.369056:0.614627:0.361165:0.614627:0.000000:0.000000
3:@0.226857:0.816296:0.232393:0.816296:0.232393:0.806167:0.226857:0.806167:0.000000
y:@0.227377:0.800869:0.232369:0.800869:0.232369:0.790740:0.227377:0.790740:0.000000
x:@0.294826:0.885765:0.299694:0.885765:0.299694:0.875636:0.294826:0.875636:0.000000
0:@0.241536:0.884543:0.247073:0.884543:0.247073:0.874414:0.241536:0.874414:0.000000
0:@0.230089:0.874217:0.235625:0.874217:0.235625:0.864088:0.230089:0.864088:0.000000
1:@0.272340:0.887124:0.277876:0.887124:0.277876:0.876995:0.272340:0.876995:0.000000
2:@0.226857:0.837281:0.232393:0.837281:0.232393:0.827152:0.226857:0.827152:0.000000
1:@0.226857:0.858299:0.232393:0.858299:0.232393:0.848170:0.226857:0.848170:0.000000
-1:@0.198255:0.887222:0.207173:0.887222:0.207173:0.877092:0.198255:0.877092:0.000000:0.000000
-1:@0.224520:0.900522:0.233438:0.900522:0.233438:0.890393:0.224520:0.890393:0.000000:0.000000
-2:@0.162055:0.887233:0.170973:0.887233:0.170973:0.877104:0.162055:0.877104:0.000000:0.000000
-3:@0.125700:0.887194:0.134618:0.887194:0.134618:0.877065:0.125700:0.877065:0.000000:0.000000
A:@0.196620:0.871500:0.205213:0.871500:0.205213:0.858701:0.196620:0.858701:0.000000
3:@0.494247:0.811133:0.499490:0.811133:0.499490:0.801542:0.494247:0.801542:0.000000
y:@0.495494:0.802760:0.500221:0.802760:0.500221:0.793169:0.495494:0.793169:0.000000
x:@0.579118:0.876674:0.583727:0.876674:0.583727:0.867083:0.579118:0.867083:0.000000
0:@0.508149:0.875760:0.513392:0.875760:0.513392:0.866168:0.508149:0.866168:0.000000
0:@0.497309:0.865982:0.502552:0.865982:0.502552:0.856391:0.497309:0.856391:0.000000
1:@0.537317:0.878204:0.542559:0.878204:0.542559:0.868613:0.537317:0.868613:0.000000
2:@0.571603:0.878182:0.576846:0.878182:0.576846:0.868591:0.571603:0.868591:0.000000
2:@0.494247:0.831005:0.499490:0.831005:0.499490:0.821414:0.494247:0.821414:0.000000
1:@0.494249:0.850907:0.499492:0.850907:0.499492:0.841316:0.494249:0.841316:0.000000
-1:@0.467165:0.878294:0.475609:0.878294:0.475609:0.868703:0.467165:0.868703:0.000000:0.000000
-1:@0.492036:0.890888:0.500480:0.890888:0.500480:0.881297:0.492036:0.881297:0.000000:0.000000
-2:@0.491642:0.910711:0.500086:0.910711:0.500086:0.901120:0.491642:0.901120:0.000000:0.000000
-2:@0.432888:0.878304:0.441332:0.878304:0.441332:0.868713:0.432888:0.868713:0.000000:0.000000
-3:@0.398463:0.878268:0.406907:0.878268:0.406907:0.868676:0.398463:0.868676:0.000000:0.000000
D:@0.513961:0.865093:0.523229:0.865093:0.523229:0.852974:0.513961:0.852974:0.000000
C:@0.422988:0.865093:0.430938:0.865093:0.430938:0.852974:0.422988:0.852974:0.000000
3:@0.774439:0.835678:0.779475:0.835678:0.779475:0.826465:0.774439:0.826465:0.000000
0:@0.790807:0.912445:0.795843:0.912445:0.795843:0.903231:0.790807:0.903231:0.000000
x:@0.849684:0.914404:0.854112:0.914404:0.854112:0.905190:0.849684:0.905190:0.000000
0:@0.774439:0.903697:0.779475:0.903697:0.779475:0.894484:0.774439:0.894484:0.000000
1:@0.819962:0.914987:0.824998:0.914987:0.824998:0.905773:0.819962:0.905773:0.000000
4:@0.774372:0.811670:0.779408:0.811670:0.779408:0.802456:0.774372:0.802456:0.000000
y:@0.775862:0.801020:0.780402:0.801020:0.780402:0.791807:0.775862:0.791807:0.000000
2:@0.774260:0.859796:0.779296:0.859796:0.779296:0.850583:0.774260:0.850583:0.000000
1:@0.773991:0.883855:0.779027:0.883855:0.779027:0.874641:0.773991:0.874641:0.000000
-1:@0.744131:0.915085:0.752243:0.915085:0.752243:0.905871:0.744131:0.905871:0.000000:0.000000
-1:@0.772914:0.931919:0.781026:0.931919:0.781026:0.922705:0.772914:0.922705:0.000000:0.000000
-2:@0.706851:0.915049:0.714963:0.915049:0.714963:0.905835:0.706851:0.905835:0.000000:0.000000
Para resolver una ecuación :@0.741227:0.197223:0.920630:0.197223:0.920630:0.182284:0.741227:0.182284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrática, es necesario :@0.741227:0.212352:0.901213:0.212352:0.901213:0.197412:0.741227:0.197412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que esté igualada a cero.:@0.741227:0.227481:0.904240:0.227481:0.904240:0.212541:0.741227:0.212541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones completas: :@0.741227:0.325920:0.902989:0.325920:0.902989:0.310514:0.741227:0.310514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son aquellas en las que el :@0.741227:0.341049:0.912465:0.341049:0.912465:0.326109:0.741227:0.326109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor de   y   es diferente :@0.741227:0.356178:0.911792:0.356178:0.911792:0.341238:0.741227:0.341238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b c:@0.797671:0.356178:0.827457:0.356178:0.827457:0.341264:0.797671:0.341264:0.000000:0.000000:0.000000
de 0.:@0.741227:0.371307:0.772921:0.371307:0.772921:0.356367:0.741227:0.356367:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones incompletas: :@0.741227:0.393584:0.916376:0.393584:0.916376:0.378178:0.741227:0.378178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son aquellas en las que el :@0.741227:0.408713:0.904098:0.408713:0.904098:0.393774:0.741227:0.393774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor de   o   es igual a 0.:@0.741227:0.423842:0.899346:0.423842:0.899346:0.408902:0.741227:0.408902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b c:@0.794659:0.423842:0.824646:0.423842:0.824646:0.408928:0.794659:0.408928:0.000000:0.000000:0.000000
Competencia :@0.741227:0.156516:0.849788:0.156516:0.849788:0.139570:0.741227:0.139570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.741227:0.173158:0.838703:0.173158:0.838703:0.156211:0.741227:0.156211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.741227:0.285213:0.849788:0.285213:0.849788:0.268266:0.741227:0.268266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.741227:0.301855:0.838703:0.301855:0.838703:0.284908:0.741227:0.284908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución de la ecuación es   = 3. La ecuación cuadrática tiene dos soluciones reales iguales.:@0.101079:0.680645:0.750373:0.680645:0.750373:0.664211:0.101079:0.664211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.306092:0.680645:0.313547:0.680645:0.313547:0.664239:0.306092:0.664239:0.000000
Dependiendo de los puntos de la parábola que cortan el eje x, se presentan tres casos de soluciones. :@0.101079:0.708008:0.834408:0.708008:0.834408:0.691574:0.101079:0.691574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000